If \(A=\{x:x \text{ is a multiple of }3\}\) and \(B=\{x:x \text{ is a multiple of }5\}\), then \(A-B\) is
(a) \(A\cap B\)
(b) \(A\cap \overline{B}\)
(c) \(\overline{A}\cap \overline{B}\)
(d) \(\overline{A}\cap B\)
Solution
By definition,
\[ A-B \]
means the elements which belong to \(A\) but do not belong to \(B\).
Therefore,
\[ A-B=A\cap \overline{B} \]
Answer
\[ \boxed{A\cap \overline{B}} \]
Correct option: (b)